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2018随机矩阵与自由概率论研讨会（Workshop on Random Matrices and Free Probability Theory）
2018 随机矩阵与自由概率论 研讨会
2017/12/20
The workshop will explore large-N asymptotics of random matrices, in connection with the operator-algebra models of their limiting behavior that appear in free probability theory. The behavior or rand...
Error Analysis of Free Probability Approximations to the Density of States of Disordered Systems
Error Analysis Free Probability Approximations the Density of States Disordered Systems
2014/8/21
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensembleaver...
Error analysis of free probability approximations to the density of states of disordered systems
Massachusetts Institute of Technology
2012/2/29
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble- av...
Free probability, Planar algebras, Subfactors and Random Matrices
Free probability von Neumann algebra random matrix subfactor planar algebra
2010/11/30
To a planar algebra P in the sense of Jones we associate a natural non-commutative ring, which can be viewed as the ring of non-commutative polynomials in several indeterminates, invariant under a sym...
A Khintchine Decomposition for Free Probability
Khintchine Decomposition Free Probability
2010/12/13
Let μ be a probability measure on the real line. In this paper we prove that there exists a decomposition μ = μ0 ⊞μ1 ⊞· · ·⊞μn ⊞· · · such that μ0 is infinitely divisible and μ...
The infinite divisibility and orthogonal polynomials with a constant recursion formula in free probability theory
The infinite divisibility orthogonal polynomials a constant recursion formula
2009/9/21
We calculate Voicdescu's R-transform of the compactly
supported probability measure on R induced from the orthogonal
polynomials with a constant recursion formula, and investigate its
infinite divi...